Quadrilateral abcd is inscribed in a circle. m angle a is 64°, m angle b is (6x + 4)°, and m angle c is (9x - 1)°. what is m angle d?

Step-by-step explanation:

we know that

The Inscribed Quadrilateral Theorem, states that a quadrilateral is inscribed in a circle if and only if the opposite angles are supplementary

so

In this problem

-----> equation A

-----> equation B

we have

Step 1

Find the value of x

substitute the measure of angle A and the measure of angle C in the equation A to find x

Step 2

Find the measure of angle D

substitute the measure of angle B in the equation B to find m<D

substitute the value of x

what? ?

what type of question is thiss

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.